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 Dependent Variable

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# Math Scope and Sequence Grade 8

 Number of Content Performance Indicators by Grade Level Content Strand Pre-K K TOTAL Number Sense and OperationsAlgebra 9  1 13 2 207  56 Geometry Measurement 22 53 87 80 Statistics and ProbabilityTOTAL 4  18 5  28 67  497

Mathematics Scope and Sequence – Middle School

 September-October November-December January- March Post-March N U M B E R S E N S E A N D O P E R A T I O N S S T R A N D Operations 8.N.3 Read, write, and identify percents less than 1% and greater than 100% 8.N.4 Apply percents to: Tax, percent increase/decrease, simple interest, sale price, commission, interest rates, and gratuities Estimation 8.N.6 Justify the reasonableness of answers using estimation Operations 8.N.1 Develop and apply the laws of exponents for multiplication and division 8.N.2 Evaluate expressions with integral exponents 8.N. 3 Read, write, and identify percents less than 1% and greater than 100% 8.N.4 Apply percents to: Tax, percent increase/decrease, simple interest, sale price, commission, interest rates, and gratuities Estimation 8.N.6 Justify the reasonableness of answers using estimation Operations 8.N.4 Apply percents to: Tax, percent increase/decrease, simple interest, sale price, commission, interest rates, and gratuities Estimation 8.N.5 Estimate a percent of a quantity, given an application A L G E B R A S T R A N D Variables and Expressions 8.A. 3 Describe a situation involving relationships that matches a given graph 8.A.4 Create a graph given a description or an expression for a situation involving a linear or nonlinear relationship Patterns, Relations and Functions 8.A.15 Understand that numerical information can be represented in multiple ways: arithmetically, algebraically and graphically 8.A.16 Find sets of ordered pairs to satisfy an algebraic expression and then plot the ordered pairs and draw the line Variables and Expressions 8.A.5 Use physical models to perform operations with polynomials (uses area of rectangles as a way to think about the distributive property) 8.A.6 Multiply and divide monomials 8.A.7 Add and subtract polynomials (integer coefficients) 8.A.8 Multiply a binomial by a monomial or binomial (integer coefficients) 8.A.9 Divide a polynomial by a monomial (integer coefficients) Equations and Inequalities 8.A.12 Apply algebra to determine the measure of angles formed by or contained in parallel lines cut by a transversal and by intersecting lines Variables and Expressions 8.A.1 Translate verbal sentences into algebraic inequalities 8.A. 2 Write verbal expressions that match given mathematical expressions 8.A.3 Describe a situation involving relationships that matches a given graph 8.A.5 Use physical models to perform operations with polynomials 8.A.10 Factor algebraic expressions using the GCF 8.A.11 Factor a trinomial in the form ax²+bx+c; a=1 and c having no more than 3 sets of factors Equations and Inequalities 8.A.13* Solve multi-step inequalities and graph the solution set on a number line 8.A.14* Solve linear inequalities by combining like terms, using the distributive property, or moving variables to one side of the inequality (include multiplication or division of inequalities by a negative number) Patterns, Relations and Functions 8.A.15 Understand that numerical information can be represented in multiple ways: arithmetically, algebraically and graphically Patterns, Relations and Functions 8.A.17* Define and use correct terminology when referring to function (domain and range) 8.A.18* Determine if a relation is a function 8.A.19* Interpret multiple representations using equation, table of values and graph G E O M E T R Y   S T R A N D Geometric Relationships 8.G.1 Identify pairs of vertical angles as congruent 8.G.2 Identify pairs of supplementary and complementary angles 8.G.3 Calculate the missing angle in a supplementary or complementary pair 8.G.4 Determine angle pair relationship when given two parallel lines cut by a transversal 8.G.5 Calculate the missing angle measurements when given two parallel lines cut by a transversal 8.G.6 Calculate the missing angle measurements when given two intersecting lines and an angle Coordinate Geometry 8.G.13* Determine the slope of a line from a graph and explain the meaning of slope as a constant rate of change 8.G.14* Determine the y-intercept of a line from a graph and be able to explain the y-intercept 8.G.15* Graph a line using a table of values 8.G. 16* Determine the equation of a line given the slope and the y-intercept 8.G.17* Graph a line from an equation in slope-intercept form (y= mx + b) Transformational Geometry 8.G.7 Describe and identify transformations in the plane, using proper function notation (rotations, reflections, translations, and dilations.) 8G.8 Draw the image of a figure under rotations of 90 and 180 degrees 8.G.9 Draw the image of a figure under a reflection over a given line 8.G.10 Draw the image of a figure under a translation 8.G.11 Draw the image of a figure under a dilation 8.G.12 Identify the properties preserved and not preserved under a reflection, rotation, translation, and dilation Coordinate Geometry 8.G.18* Solve systems of equations graphically (only linear, integral solutions, y=mx +b format, no vertical or horizontal lines) 8.G.19* Graph the solution set of an inequality on a number line 8.G.20* Distinguish between linear and nonlinear equations ax²+bx+c; a=1 (only graphically) 8.G.21* Recognize the characteristics of quadratics in tables, graphs, equations, and situations 8.G.0*Construct the following using a straight edge and compass: Segment congruent to a segment; angle congruent to an angle; perpendicular bisector, and angle bisector Coordinate Geometry 8.G.20* Distinguish between linear and nonlinear equations ax²+bx+c; a=1 (only graphically) 8.G.21* Recognize the characteristics of quadratics in tables, graphs, equations, and situations M E A S U R E M E N T S T R A N D Units of Measurement 8.M.1 Solve equations/ proportions to convert to equivalent measurements within metric and customary measurement systems.